kenetic and potential
The magnitude and direction exerted by two tugboats towing a ship are 1620kilograms, N35degreesW,and 1250kilograms, S50degreesW,respectively. Find the magnitude, in kilograms, and the direction angle, in degrees, of the resultant force.
Answer:
Magnitude (in kilogram) of the resultant force, [tex]|M| = 1958.53 kg[/tex]
Direction = 164.37°
Explanation:
The two forces exerted by the two tugboats are non zero vectors, therefore they can be expressed as:
For the 1620 kg tugboat in the direction N35degreesW
[tex]M_{1} = 1620 cos \theta_1 i + 1620 sin \theta_1 j\\[/tex]
The direction of the force from the positive x - axis, [tex]\theta_1 = 90 - 35 = 55^{0}[/tex]
The equation above then becomes:
[tex]M_{1} = 1620 cos 55 i + 1620 sin 55 j\\ M_{1} = (1620 * 0.57) i + (1620*0.82) j\\M_{1} = 923.4 i + 1328.4j[/tex]
For the 1250 kg tugboat in the direction S50degreesW
[tex]M_{2} = 1250 cos \theta_2 i + 1250 sin \theta_2 j\\[/tex]
The direction of the force from the positive x - axis,
[tex]\theta_2 = - (90 - 50) = - 40^{0}[/tex]
The equation above then becomes:
[tex]M_{2} = 1250 cos(-40) i + 1250 sin (-40) j\\ M_{2} = (1250 * 0.77) i - (1250*0.64) j\\M_{2} = 962.5 i - 800j[/tex]
The resultant vector will be given by:
[tex]M = M_{1} + M_{2} \\ M = 923.4 i + 1328.4j + 962.5 i - 800j\\M = 1885.9i + 528.4j[/tex]
The magnitude of the resultant is given by:
[tex]|M| = \sqrt{1885.9 ^{2} + 528.4^2 } \\|M| = \sqrt{3556618.81 + 279206.56}\\|M| = \sqrt{3835825.37} \\|M| = 1958.53 kg[/tex]
The direction will be given by :
[tex]cos \theta = \frac{a}{|M|} \\cos \theta = \frac{1885.9}{1958.53}\\cos \theta = 0.963\\\theta = cos^{-1} 0.963\\\theta = 15.63^0[/tex]
Direction = 180 - 15.63 = 164.37°
What is the law of conversation of energy?
Answer:
the law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time
Explanation:
If 20 J of work is done in 4 seconds, what is the power?
When 20 J of work is done in 4 seconds, the power is 5 watts
Power is the rate at which work is done, expressed in watts.
In this case, if 20 J of work is done in 4 seconds, the power can be calculated as follows:
Power = Work done / Time taken
Power = 20 J / 4 s
= 5 watts
Explain, in terms of energy, why a pendulum swings lower and lowers when you let go of it
Answer:
because of its energy store it had potential and gravity energy stores befoare you let it go and when it swings it lets off its gravitational enery and the potential energy goes to
Explanation:
A softball player steals second base while rubbing at her top speed of 4.2 m/s in 1.75 seconds. What is her acceleration?
13 Points!!
Answer:
2.4m/s^2
Explanation:
To find the acceleration you divide velocity by the time.
Which of the moon’s properties prevents it from being pulled inward by earth?
Answer:
Inertia
Explanation:
Inertia is the inherent property of an object to remain in its state of rest or motion without being disturbed.
Answer:
inertia
Explanation:
A note on a piano vibrates 262 time per second. What is the period of the wave
Answer: it is period 93
Explanation:
The period of a wave, measured in seconds, is the reciprocal of its frequency. Given that a piano note vibrates at a frequency of 262 times per second, the period of the wave is approximately 1/262 or 0.00381 seconds.
Explanation:In physics, the frequency is the number of waves that pass a fixed point in a given time period. We typically measure it in hertz (Hz), which is synonymous with cycles per second. On the other hand, the period is the duration it takes for one cycle to pass, which is the reciprocal of the frequency.
Here the note on the piano is stated to vibrate (frequency) 262 times per second. Thus, to calculate the period, we take the reciprocal of the frequency i.e. 1 divided by the frequency. Hence, it's 1/262 which equals approximately 0.00381 seconds. So, the period is about 0.00381 seconds.
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Look of the diagram below. What condition does this show?
Enter your answer
Answer:
hypermetropia
Explanation:
long-sightedness.
Uranus is a pale green planet, with 27 satellites and several rings.
True or False
P.S what subject would this be
Hi,
All of it is true. :
Uranus is a pale green planet, with 27 satellites and several rings.
A heat pump is to be used for heating a house in winter. The house is to be maintained at 70°F at all times. When the temperature outdoors drops to 40°F, the heat losses from the house are estimated to be 75,000 Btu/h. Determine the minimum power [Btu/h] required to run this heat pump if heat is extracted from the outdoor air at 40°F.
Answer:
[tex]\dot{W_{H} } = 4244.48 Btu/h[/tex]
Explanation:
Temperature of the house, [tex]T_{H} = 70^{0} F[/tex]
Convert to rankine, [tex]T_{H} = 70^{0}+ 460 = 530 R[/tex]
Heat is extracted at 40°F i.e [tex]T_{L} = 40^{0}F = 40 + 460 = 500 R[/tex]
Calculate the coefficient of performance of the heat pump, COP
[tex]COP = \frac{T_{H} }{T_{H} - T_{L} } \\COP = \frac{530 }{530 - 500 }\\ COP = \frac{530}{30} \\COP = 17.67[/tex]
The minimum power required to run the heat pump is given by the formula:
[tex]\dot{W_{H} } = \frac{\dot{Q_{H} }}{COP} \\[/tex]...............(*)
Where the heat losses from the house, [tex]\dot{Q_{H} } = 75,000 Btu/h[/tex]
Substituting these values into * above
[tex]\dot{W_{H} } = \frac{75000}{17.67} \\ \dot{W_{H} } = 4244.48 Btu/h[/tex]
At one instant an electron is moving in the positive x direction along the x axis in a region where there is a uniform magnetic field in the positive z direction. When viewed from a point on the positive z axis, it subsequent motion is:
When viewed from a point on the positive z-axis (looking downward), the subsequent motion of the electron in a region with a uniform magnetic field in the positive z-direction will be in a circular path around the z-axis. This path is perpendicular to both the electron's velocity vector and the magnetic field direction.
The motion of charged particles like electrons in a magnetic field is governed by the Lorentz force equation:
F = q * (v x B)
where:
F is the magnetic force acting on the electron,
q is the charge of the electron,
v is the velocity of the electron,
B is the magnetic field vector.
Since the velocity of the electron (v) is in the positive x-direction, and the magnetic field (B) is in the positive z-direction, the cross product (v x B) will result in a force perpendicular to both the x and z axes. This force causes the electron to move in a circular path around the z-axis.
This motion is commonly referred to as circular motion in a magnetic field, and it is similar to the way charged particles move in a cyclotron or a particle accelerator. The electron will continue to move in this circular path as long as it remains in the region with the uniform magnetic field and no other forces act on it.
Hence, When viewed from a point on the positive z-axis (looking downward), the subsequent motion of the electron in a region with a uniform magnetic field in the positive z-direction will be in a circular path around the z-axis. This path is perpendicular to both the electron's velocity vector and the magnetic field direction.
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The areas in which the individual magnetic orientations of atoms line up are called
Answer:
Magnetic domains
Explanation:
The areas in which the individual magnetic orientations of atoms line up are called magnetic domains.
In most magnetic materials, atoms are arranged in such a way that the magnetic orientation of one electron cancels out the orientation of another
In magnetic domain electrons have the same magnetic orientation. This means that the individual magnetic moments of the atoms are aligned with one another and they point in the same direction.
why are electrical outputs from a turbine generator highest during spring tide
Answer:
A
Explanation:
because if the tides come in faster that means that more energy could be harnessed.
8. What is the frequency of the standing wave shown?
a. 12 Hz
b. 24 Hz
c. 36 Hz
d. 48 Hz
9. What would be the fundamental (1st harmonic) frequency of the string?
a. 12 Hz
b. 24 Hz
c. 36 Hz
d. 48 Hz
Answer:
while using brainly app. there is an option of uploading image of diagram, graph or plot. plz use that feature to upload image of the standing wave so that your question can be properly answeres
PLEASE HELP ME check the photo.
Answer:
1/ How do scientists determine the elements present in different stars?
KEY WORD for the main idea: Analysis of the starlight.
Answer: Scientists can identify what elements present in different stars by analysing the starlight.
Note: The "starlight" = spectral lines. Astronomers can can identify what kinds of stuff are in stars from the lines they find in star's spectrum. From spectral lines astronomers can determine not only the element, but the temperature and density of that element in the star.
..
2/ What happens to a star when the fuel for its nuclear fusion reactions is exhausted?
KEY WORD for the main idea: generate light from energy
Answer: A star generates energy through nuclear fusion; this energy is released a light and heat.
Note: The energy source for all stars is nuclear fusion. Stars spend most of their lives repetitively compressing two hydrogen atoms into a single helium atom - plus a lot of energy, which is released as light and heat. A normal star that has exhausted the nuclear fuel in its interior, its outer layers have expanded, and it has become a red giant.
....
3/ Why aren't stars and galaxies spread out evenly across the universe?
KEY WORD for the main idea: Gravitational attraction
Answer: Stars and Galaxies aren't evenly distributed uniformly throughout the universe, because of the existance of gravity.
Note: Gravity, as one of the fundamental forces of the universe, is the powerful force that glues our universe together. This is the one that causes every object in the universe to attract every other object. One of the most noticeable effects of gravity in the solar system is the orbit of the planets.
Explanation:
Hope this answer can help you. Have a nice day !
A large manufacturing company releases chemicals into the air every day. The chemicals eventually make their way into local bodies of water, killing many of the organisms that live in these areas.
Which best describes this situation?
A.habitat destruction due to pollution
B.habitat destruction due to poaching
C.pollution due to poaching
D.poaching due to habitat destruction
Answer:
Habitat deconstruction due to pollution
Explanation:
Hope this helps mate! :)
How do scientists determine the elements present in different stars
Answer:
Thus, astronomers can identify what kinds of stuff are in stars from the lines they find in the star's spectrum. This type of study is called spectroscopy. ... From spectral lines astronomers can determine not only the element, but the temperature and density of that element in the star.
Explanation:
Scientists use spectroscopy to identify the elements present in stars by analyzing the light they emit. The distinct atomic spectra for each element acts as a fingerprint, allowing astronomers to understand a star's composition and its evolution over time.
Scientists determine the elements present in different stars by using spectroscopy to analyze the light those stars emit. Each chemical element has a unique atomic spectrum, either emitting or absorbing specific wavelengths of light, identifiable through spectroscopic techniques. By comparing the observed spectra with known spectra obtained in laboratories, astronomers can deduce the elements that make up a star. Stars primarily consist of hydrogen and helium, but the presence of heavy elements, such as iron, varies, offering insight into their composition and history.
The study of light elements like lithium, beryllium, and boron in stars, as compared to heavier ones, can illuminate the processes of stellar evolution and the creation of new stellar and planetary bodies. Information from stars' spectra, including subtle shifts due to Doppler effect adjustments for radial velocity, allows scientists to understand not only a star's chemical makeup but also its motion in space. Thus, spectroscopy is a powerful tool for uncovering the secrets of celestial bodies, from individual stars to distant galaxies.
Inside a television picture tube there is a build-up of electrons (charge of 1.602 × 10–19 C) with an average spacing of 38.0 nanometers between electrons. Find the electric field inside the picture tube. (Round to three significant figures.)
Answer:
Electric field, [tex]E=9.97\times 10^5\ N/C[/tex]
Explanation:
We have,
Charge on electron is [tex]1.602\times 10^{-19}\ C[/tex]
Distance between electron is 38 nm.
It is required to find the electric field inside the picture tube. The electric field at a distance r is given by :
[tex]E=\dfrac{kq}{r^2}\\\\E=\dfrac{9\times 10^9\times 1.6\times 10^{-19}}{(38\times 10^{-9})^2}\\\\E=9.97\times 10^5\ N/C[/tex]
So, the electric field inside the picture is [tex]9.97\times 10^5\ N/C[/tex]
Answer:
997,000
Explanation:
just did the assignment for electric fields, grade 10. have a nice day :)
A science teacher ran a marathon. After the race she showed her students the silver blanket she was given to keep her warm.A group of students investigated how the colour of the blanket affected how much infrared radiation is absorbed
Answer:
In summary the blanket that is metallic reflects electromagnetic waves
Explanation:
The teacher running the marathon generates a quantity of heat that the body must release to keep its temperature constant, one of the ways to release this energy in the form of electromagnetic radiation in the infrared range.
The matte with is silver should be metallic, so it reflects light at all wavelengths, so that the infrared light returns to the body and decreases the radiation radiation emitted, thus keeping it warmer.
In summary the blanket that is metallic reflects electromagnetic waves
If a thunder clap comes 1.5 s after the lightning strike, how far away is the
strike?
Answer:
514.5 meters
1687.9921 feet
Explanation:
speed of sound = 343 m/s
1.5 (seconds) x 343 (m/s) = 514.5 meters
The distance of the lightning strike is approximately 514.5 meters or 0.5145 kilometers away, calculated by multiplying the time delay of the thunder clap (1.5 seconds) with the average speed of sound (343 m/s).
Explanation:If a thunder clap comes 1.5 seconds after a lightning strike, you can estimate the distance of the strike from your location. Since the speed of sound varies with temperature, we'll use the average speed of sound at room temperature, which is approximately 343 meters per second. To calculate the distance, you multiply the time it takes to hear the thunder (1.5 seconds) by the speed of sound (343 m/s), which equals to about 514.5 meters or roughly 0.5145 kilometers away.
When astronauts are in the International Space Station, they can breathe normally in their living areas. However, when they go on a spacewalk to work on the Space Station, to repair or replace parts, they must be in a spacesuit. Why must they have their own supply of oxygen within the spacesuit?
Astronauts must have their own supply of oxygen in their spacesuits during spacewalks due to the absence of breathable air in the vacuum of space, and to protect them from harmful solar radiation and the extreme temperatures of space. The suits also maintain positive pressure relative to the outside to prevent air from the vacuum of space from entering the suit if a leak occurs.
Explanation:Astronauts must have their own supply of oxygen within their spacesuits during spacewalks because outer space does not have an atmosphere like the Earth which contains beneficial and breathable air; instead, space is a vacuum. This absence of atmosphere leaves astronauts exposed to the direct speed and force of solar radiation which can be harmful and potentially lethal. Their spacesuits, equipped with their own oxygen supply, not only enable astronauts to breathe but also serve as a barrier to protect them from this radiation and the extreme temperatures of space. The suit also maintains a positive pressure relative to the outside, ensuring that if a leak occurs, air will flow out of the suit, not into it from the vacuum of space.
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Light waves can be reflected, refracted and absorbed. Which of the following is an example of light waves being absorbed?
A.
A ray of light travels from the Sun to Earth's atmosphere.
B.
A magnifying lens increases the image size of a penny.
C.
A road's black pavement becomes hot in the sunlight.
D.
A mirror changes the direction of a light ray.
STUDY ISLAND
Answer:
C
Explanation:
Big Brain ;3
Final answer:
Black pavement becoming hot in the sunlight is an example of light waves being absorbed, as the pavement captures the light's energy, converting it into heat.
Explanation:
When light travels from one medium to another, some of the light is transmitted, some is reflected, and some is absorbed. An example of light waves being absorbed is when a road's black pavement becomes hot in the sunlight. This absorption happens because the pavement captures the energy of the light waves, converting it to heat, which makes the pavement hot. This process is why black-coloured surfaces heat up more in the sunlight than lighter-coloured surfaces, due to their higher absorption capacity.
What is the speed of light across space?
Answer:
299,792 kilometers per second.
Explanation:
Hope I helped ya.
< Sarah >
Answer: 300 million meters per second
Explanation:
Srry if I'm wrong
What determines the strength of the electric force?
Describe each type of biotechnology:
Genetic engineering:
Cloning:
Artificial selection:
Answer:
Genetic Engineering: the direct manipulation of an organisms genes using biotechnology (ex. genetically engineering corn to be insect resistant)
Cloning: The process of producing genetically identical individuals of an organism either natually or artificially,cloning allows for the creation of multiple copies of genes, expression of genes, and study of specific genes (ex. Cloning cells for untreatable diseases)
Artificial Selection: Also known as Selective breeding it is the process by which humans use animal breeding and plant breeding to selectively develop particular phenotypic traits/ characteristics (ex. Dog breeding)
Answer:
Genetic Engineering :
Benefits
-Ability to create food that is resistant to pests, cold, and disease
-Greater food production volume and increased vitamins
Risks
-Concerns about long-term health risks
-Lack of regulation
Cloning
Benefits
-Ability to increase endangered animal populations
-Possibility of eliminating diseases and defective genes
Risks
-Shorter lifespan for cloned animals
-Greater chance of health issues for cloned animals
Artificial Selection
Benefits
-Allows for selection of desired traits
-Ability to create better versions of organisms
Risks
-Loss of genetic diversity
-Increased chance of diseases that can shorten lifespan
Explanation:
This is straight from the lesson 6.01 page 5 (FLVS)
Which kind of wave interaction is shown?
A. Absorbtion
B.diffraction
C.refraction
D. Reflection
Answer:diffraction
Explanation:
What kind of mirrors are typically used for security purposes?
O A. diverging
B. convex
O C. converging
D. concave
Convex Mirrors are the mirrors that are used for security purposes.
What kind of mirrors are typically used for security purposes?Convex Mirrors are the type of mirrors that are used in road safety, security and observation applications. For example, convex security mirrors act as effective deterrents when used in shops and convex safety mirrors help to avoid collisions.
So we can conclude that Convex Mirrors are the mirrors that are used for security purposes.
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The Convex mirror is the mirror that is generally used for security purposes (Option A and B).
What is a mirror?The term mirror refers to any reflecting surface. There are different kinds of curved mirrors such as;
parabolic mirrorConcave mirrorConvex mirrorThe Convex mirror is used for security purposes because they help to magnify the image and broaden the scope of view allowing the store attendants to see better.
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Which box depicts the tissue level of organization?
A) P
B) Q
C) R
D) S
ASAP -Will give brainliest - Look at the graph below. Which of these lines represents the fastest moving object?
Answer:
Purple
Explanation:
They've all gone for the same amount of time, but purple is pointed the highest
pls vote me brainliest
Why is the weight of an object more on Earth than the Moon
Answer:
Due to gravity on the earth but on moon there is 1/6th of the gravity than on earth. Since the acceleration of gravity Is lesser in moon and weight is constant, the weight of an object is lesser on the surface of the moon.
Explanation:
Answer: C.
The gravitational pull of Earth is greater than that of the Moon.
Explanation: plato